Pith Number

pith:DG2JYXEN

pith:2013:DG2JYXENBJMXWVR7GIJ2XJ5LWT

not attested not anchored not stored refs pending

Sobolev and isoperimetric inequalities for submanifolds in weighted ambient spaces

Heudson Mirandola, Marcio Batista

arxiv:1304.2271 v2 · 2013-04-08 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DG2JYXENBJMXWVR7GIJ2XJ5LWT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:28:16.885339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b49c5c8d0a597b563f3213aba7abb4fbc23fb052efa344fa614a942cf7ccec

Aliases

arxiv: 1304.2271 · arxiv_version: 1304.2271v2 · doi: 10.48550/arxiv.1304.2271 · pith_short_12: DG2JYXENBJMX · pith_short_16: DG2JYXENBJMXWVR7 · pith_short_8: DG2JYXEN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DG2JYXENBJMXWVR7GIJ2XJ5LWT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 19b49c5c8d0a597b563f3213aba7abb4fbc23fb052efa344fa614a942cf7ccec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcc2068ad6e86cdfb88cf309be5b53c553dadbf82bb73db30eec50d05b95424b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-08T17:09:57Z",
    "title_canon_sha256": "1ef95db4da1f6f6b2afdb4f6db8c01887a3736b46496000a24a73cdd22f9449c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2271",
    "kind": "arxiv",
    "version": 2
  }
}